Given:
ΔFEG is similar to ΔIHJ
To find:
The value of y
Solution:
If two triangles are similar, then their corresponding angles are congruent.
⇒ ∠G ≅ ∠J
⇒ m∠G = m∠J
⇒ 56° = 5y° + 6°
Subtract 6° from both sides.
⇒ 56° - 6° = 5y° + 6° - 6°
⇒ 50° = 5y°
Divide by 5 on both sides.
[tex]$\Rightarrow \frac{50^\circ}{5} =\frac{5y^\circ}{5}[/tex]
[tex]$\Rightarrow{10^\circ}=y^\circ[/tex]
The value of y is 10.
